If the vertex angle of an isosceles triangle is , what is the measure of each base angle?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question involves the properties of isosceles triangles and the angle - sum property of a triangle.
The main focus is on using the fact that the sum of interior angles of a triangle is and the base angles of an isosceles triangle are equal.
Key Concept Explanation:
In an isosceles triangle, the sum of the interior angles is , i.e., , where is the vertex angle and and are the base angles.
Also, .
Step - by - Step Solution:
Let the vertex angle and the base angles be and .
Since and , we can rewrite the equation as
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